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Finding the Fourth Proportional to 12,819.69, 19,235.49 and 4,919.58

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Solution

The fourth proportional to 12,819.69, 19,235.49 and 4,919.58 is: 7,381.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,819.69 : 19,235.49 = 4,919.58 : x
  2. Step 2: Convert to fraction form
    12,819.69/19,235.49 = 4,919.58/x
  3. Step 3: Cross multiply
    12,819.69x = 19,235.49 × 4,919.58
  4. Step 4: Simplify right side
    12,819.69x = 94,630,531.89
  5. Step 5: Solve for x
    x = 94,630,531.89/12,819.69
  6. Step 6: Final answer
    x = 7,381.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.